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Finding the Third Proportional to 194,609 and 414,328

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Solution

The third proportional to 194,609 and 414,328 is: 882,115.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,609 : 414,328 = 414,328 : x
  2. Step 2: Convert to fraction form
    194,609/414,328 = 414,328/x
  3. Step 3: Cross multiply
    194,609x = 414,328 × 414,328
  4. Step 4: Simplify right side
    194,609x = 171,667,691,584
  5. Step 5: Solve for x
    x = 171,667,691,584/194,609
  6. Step 6: Final answer
    x = 882,115.89

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.